The Figure REF c scatter plot indicates clear variations in the integrated area due to different temperature profiles, but the complexity in the linestrength \(S(T)\)  obscures any clear pattern in these variations. This is because the linestrength depends on the absorption-transition-specific lower-state energy \(E”\)  and reference linestrength \(S(T_0)\) , according to Eq. REF .
Thus the transition-specific parameters (\(E"\)  and \(S(T_0)\) ) in conjunction with the measurement-specific temperature PDFs produce the integrated area variations across Figure 3c. The molecule-specific partition function \(Q\)  does not cause the linestrength scatter. The lower-state energy and reference linestrength come from a molecular database such as HITRAN [1]}. HITRAN uses a reference temperature \(T_0 = 296K\) , so the reference linestrength in HITRAN follows the notation \(S(T_0=296K) = S_{296}\) .
